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Path-complete p-dominant switching linear systems
release_mj32taepgbc7nlzm5io2jkgd4u
by
Guillaume O. Berger, Fulvio Forni, Raphaël M. Jungers
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2018
Abstract
The notion of path-complete p-dominance for switching linear systems (in
short, path-dominance) is introduced as a way to generalize the notion of
dominant/slow modes for LTI systems. Path-dominance is characterized by the
contraction property of a set of quadratic cones in the state space. We show
that path-dominant systems have a low-dimensional dominant behavior, and hence
allow for a simplified analysis of their dynamics. An algorithm for deciding
the path-dominance of a given system is presented.
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1808.09757v1
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